Finite-mode analysis by means of intensity information in fractional optical systems

被引：4

作者：

Alieva, T ^{[1
]}

Bastiaans, MJ ^{[1
]}

机构：

[1] Tech Univ Eindhoven, Fac Elektrotech, NL-5600 MB Eindhoven, Netherlands

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2002年 / 19卷 / 03期

关键词：

D O I：

10.1364/JOSAA.19.000481

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

It is shown how a coherent optical signal that contains only a finite number of Hermite-Gauss modes can be reconstructed from the knowledge of its Radon-Wigner transform-associated with the intensity distribution in a fractional-Fourier-transform optical system-at only two transversal points. The proposed method can be generalized to any fractional system whose generator transform has a complete orthogonal set of eigenfunctions. (C) 2002 Optical Society of America.

引用

页码：481 / 484

页数：4

共 12 条

[1] Mode analysis in optics through fractional transforms [J].

Alieva, T ;

Bastiaans, MJ .

OPTICS LETTERS, 1999, 24 (17) :1206-1208

[2] Finite mode analysis through harmonic waveguides [J].

Alieva, T ;

Wolf, KB .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (08) :1482-1484

[3] Fractionalization of the linear cyclic transforms [J].

Alieva, T ;

Calvo, ML .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (12) :2330-2338

[4] THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS [J].

ALMEIDA, LB .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) :3084-3091

[5] Recursive algorithm for phase retrieval in the fractional Fourier transform domain [J].

Cong, WX ;

Chen, NX ;

Gu, BY .

APPLIED OPTICS, 1998, 37 (29) :6906-6910

[6] Fractional transformations in optics [J].

Lohmann, AW ;

Mendlovic, D ;

Zalevsky, Z .

PROGRESS IN OPTICS, VOL 38, 1998, 38 :263-342

[7]

Ozaktas HM., 1999, ADV IMAG ELECT PHYS, V106, P239, DOI DOI 10.1016/S1076-5670(08)70272-6

[8] COMPLEX WAVE-FIELD RECONSTRUCTION USING PHASE-SPACE TOMOGRAPHY [J].

RAYMER, MG ;

BECK, M ;

MCALISTER, DF .

PHYSICAL REVIEW LETTERS, 1994, 72 (08) :1137-1140

[9] DETERMINISTIC PHASE RETRIEVAL - A GREEN-FUNCTION SOLUTION [J].

TEAGUE, MR .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1983, 73 (11) :1434-1441

[10] Analytic relation for recovering the mutual intensity by means of intensity information [J].

Tu, JH ;

Tamura, S .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1998, 15 (01) :202-206

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